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Finding the Fourth Proportional to 13,666.42, 20,499.64 and 10,550.98

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Solution

The fourth proportional to 13,666.42, 20,499.64 and 10,550.98 is: 15,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.42 : 20,499.64 = 10,550.98 : x
  2. Step 2: Convert to fraction form
    13,666.42/20,499.64 = 10,550.98/x
  3. Step 3: Cross multiply
    13,666.42x = 20,499.64 × 10,550.98
  4. Step 4: Simplify right side
    13,666.42x = 216,291,291.65
  5. Step 5: Solve for x
    x = 216,291,291.65/13,666.42
  6. Step 6: Final answer
    x = 15,826.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.